(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A television picture is composed of approximately 300,000 individual picture elements

(pixels), each of which can attain ten different and distinguishable brightness levels (such as

black and shades of gray) for proper contrast. If for any picture element, the probability of

occurrence of the ten brightness levels are equal, and the frame rate is 30. Determine the

bandwidth of the video signal. Assume that a channel signal-to-noise ratio (SNR) of 30 dB is

required for proper reproduction of any picture.

2. Relevant equations

soln. says to use C=Blog_2(1+SNR)

how many bits/pixel?

log_210 bits/pixel=3.32 bits/pixel

C=300,000 x 30 x 3.32 = 30mbps

then proceeds to find B.

Why are they calculating bits/pixel? and where did the 30 come from? frame rate?

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# Homework Help: Data networks question - shannon capacity formula

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